em. ose that in a memory experiment the rate of memorizing is given by 1'(t) = -0.006t2 + 0.4t, e M'(t) is the memory rate, in words per minute. How many words are memorized in t = 0 to t = 20)?

Q: # 3) Each side of a square is increasing at a rate of 6cm/s. At what rate is the area of the square…

A:

Q: A ship started at a certain port and travelled N 48° E at the rate of 32 kph. After 1.5 hours, a…

A:

Q: A ladder is 27 feet long and is leaning against the side of a house. The base is moved away at 3 ft…

A: Solution is given below:

Q: The sides of a square increase in length at a rate of am/s. At what rate is the larea of the square…

A: Area of square with side 's' isA=s2Differentiate with respect to xdAdt=2sdsdt Substitute dsdt=2,…

Q: A tank initially contains 100L of brine in which there dissolved 20kg of salt. Pure water flows into…

A:

Q: A sample of gas is heated with 15.4 kJ of energy while simultaneously expanding to 28.3 L from 2.3 L…

A: We know formula for work done -  w = -p∆v

Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

A: We have to find amount and concentration.

Q: SA Spherical ballon is ingiated With goas at the rate af 20 Cm3min. How fast is the fadtus af the…

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: 9. The growth in the population of a group of rabbits is given by P(t) = 800e008 , where P is the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: A bacterial population starts with 500 bacteria and grows at a rate of r(t) = (450.263)e.12567t…

A: The growth after 3 hours is = (450.263)e^(1.12567*3) =(450.263)*(29.28308367) =13185.0891 =13186(…

Q: dN The rate of the growth of species of bacteria is estimated by = 800 + et dt Where Nis the number…

A: Given function is form of differential equation. we will integrate this function to get the N(t).

Q: The rate at which a substance grows is given by: R' (x) = 195e0.5% where x is the time in days. What…

A: R'(x)=195e^(0.5x)  x= days

Q: The radius of a circle is growing at a constant rate of 3 in./sec. (a) What is the area of the…

A: Introduction :

Q: A tank contains 1000 liters (L) of a solution consisting of 140 kg of salt dissolved in water. Pure…

A:

Q: The increase in carbon dioxide (CO2) in the atmosphere is a major cause of global warming. Using…

A:

Q: Suppose a population of fruit flies changes at a rate of g(t) = -3e0.01, in flies per day. If the…

A:

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: let the length of rectangle is l cm and width is w cm area of rectangle is(A) =lxw differentiate…

Q: An oil storage tank ruptures at time t = 0 and oll leaks from the tank at a rate of r(t) = 70e-0.05t…

A: Given: rt=70e-0.05t

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average…

A:

Q: The number of bacteria in a culture is growing at a rate of 3000e²/5 per unit of time t. At t= 0,…

A: Given that the number of bacteria in a culture is growing at a rate 3000e2t/5 per unit of time t. At…

Q: How would I set up and find the population growth?

A: The growth rate of population of bacteria is given by P’(t) = 15et , where t is time in hours.

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that…

A: To find the number of units completed in t hours by the new employee, integrate the rate of…

Q: A culture of bacteria is growing at a rate of 5e0.bt per hour, with t in hours anc 0sts 20. How many…

A: The growth rate of culture is given as, dNdt=5e0.6t We need to find the new bacteria developed in…

Q: The length of a rectangle is increasing at a rate of 12 in./s, while its width is decreasing at 2…

A:

Q: 2. A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

A: Given a 10-ft ladder is leaning against the wall Let BC be the ladder, Let AB=h and AC=b Then…

Q: A triangle with constant base b and height h is changing with time where h(t) = 2t – 3. What is the…

A:

Q: 2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area…

A:

Q: A triangle with constant base b and height h is changing with time where h(t) = 3t + 1. What is the…

A:

Q: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

A: Given, water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours…

Q: t=a,t=ath

A:

Q: If the area of a healing wound changes at a rate given approximately by dA 4 for 1 <t<10 is in days…

A:

Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: A colony of flies has an initial population of 4466. After t days, the population is given by…

A: We need to find the rate of change of the flies population.

Q: (A1) A ladder 11 feet long rests againt a certical wall. if the bottom of the ladder slides away…

A:

Q: A ladder is 36 feet long and is leaning against the side of a house. The base is moved away at 2 ft…

A:

Q: What is the period of time ''t'' required for the initial infection rate ''I(t=0)'' to double in…

A:

Q: During a certain 12-hour period the temperature at time t (measured in hours from the start of the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: The rate of growth of a microbe population is given by m'(t) = 22t e ,2t where t is time in days.…

A: We will find the number of microbes in first two days.

Q: The area of a rectangle with one of its sides s is A(s) = 6s². What is the rate of change of the…

A:

Q: A tank holds 59 gallons of water. Initially, at t=0, a solution containing 1/8 lb/gal of a chemical…

A: This is a mixing problem and at any time the amount of salt in in tank is (total salt in - total…

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: Water flows from the bottom of a storage tank at a rate of r(t) = 4(50 − t)e −0.05t liters per…

A: Given:  rt=450-te-0.05t    , 0≤t≤50    1 We need to find the amount of water that flows from the…

Q: In an experiment, the population of C of a certain type of a bacteria int hours, is given by... C(t)…

A:

Q: A tank initially holds 10 gal of fresh water. At t = 0, a brine solution containing ¼pounds of salt…

A: Given that , Initially fresh water in tank = 10 gal At t=0 , the solution containing 14 pounds of…

Q: The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the…

A: Solution is in step 2 Option A is correct answer.

Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

A:

Q: If it begins to decelerate at the rate of a=(-0.5v/2) m/s², where v is in m/s, determine the…

A: To find the distance travels by the particle before it stops. Given that: Initial velocity of the…

Q: 1 A 5 m ladder is leaning against a wall of a house. The bottom of the ladder is pulled away from…

A: Let the bottom of the ladder is x meters away from the wall and the top of ladder is at distance y…